75360040 has 48 divisors (see below), whose sum is σ = 197248500. Its totient is φ = 25837056.

The previous prime is 75360013. The next prime is 75360041. The reversal of 75360040 is 4006357.

It can be written as a sum of positive squares in 2 ways, for example, as 63011844 + 12348196 = 7938^2 + 3514^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75359987 and 75360014.

It is not an unprimeable number, because it can be changed into a prime (75360041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17265 + ... + 21184.

Almost surely, 2^75360040 is an apocalyptic number.

75360040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75360040 is an abundant number, since it is smaller than the sum of its proper divisors (121888460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75360040 is a wasteful number, since it uses less digits than its factorization.

75360040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38474 (or 38463 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 75360040 is about 8681.0160695624. The cubic root of 75360040 is about 422.3900767919.

Adding to 75360040 its reverse (4006357), we get a palindrome (79366397).

The spelling of 75360040 in words is "seventy-five million, three hundred sixty thousand, forty".